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199999008 = 25321163131
BaseRepresentation
bin10111110101110…
…11111000100000
3111221100000001200
423322323320200
5402144432013
631502401200
74645651326
oct1372737040
9457300050
10199999008
11a2992240
1256b90200
1332586a11
141c7c1d16
1512858e73
hexbebbe20

199999008 has 72 divisors (see below), whose sum is σ = 620461296. Its totient is φ = 60604800.

The previous prime is 199999001. The next prime is 199999043. The reversal of 199999008 is 800999991.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (199999001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28398 + ... + 34733.

It is an arithmetic number, because the mean of its divisors is an integer number (8617518).

Almost surely, 2199999008 is an apocalyptic number.

199999008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199999008 is an abundant number, since it is smaller than the sum of its proper divisors (420462288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199999008 is a wasteful number, since it uses less digits than its factorization.

199999008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63158 (or 63147 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 54.

The square root of 199999008 is about 14142.1005511911. The cubic root of 199999008 is about 584.8025807658.

The spelling of 199999008 in words is "one hundred ninety-nine million, nine hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 63131 126262 189393 252524 378786 505048 568179 694441 757572 1010096 1136358 1388882 1515144 2020192 2083323 2272716 2777764 3030288 4166646 4545432 5555528 6060576 6249969 8333292 9090864 11111056 12499938 16666584 18181728 22222112 24999876 33333168 49999752 66666336 99999504 199999008